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Simplifying 3x + 42 + -5x = 2 + -9x + 5 Reorder the terms: 42 + 3x + -5x = 2 + -9x + 5 Combine like terms: 3x + -5x = -2x 42 + -2x = 2 + -9x + 5 Reorder the terms: 42 + -2x = 2 + 5 + -9x Combine like terms: 2 + 5 = 7 42 + -2x = 7 + -9x Solving 42 + -2x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 42 + -2x + 9x = 7 + -9x + 9x Combine like terms: -2x + 9x = 7x 42 + 7x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 7x = 7 + 0 42 + 7x = 7 Add '-42' to each side of the equation. 42 + -42 + 7x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 7 + -42 7x = 7 + -42 Combine like terms: 7 + -42 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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